58738420 has 48 divisors (see below), whose sum is σ = 133499520. Its totient is φ = 21580416.

The previous prime is 58738411. The next prime is 58738489. The reversal of 58738420 is 2483785.

It is a self number, because there is not a number n which added to its sum of digits gives 58738420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67951 + ... + 68809.

It is an arithmetic number, because the mean of its divisors is an integer number (2781240).

Almost surely, 2^58738420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58738420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66749760).

58738420 is an abundant number, since it is smaller than the sum of its proper divisors (74761100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58738420 is a wasteful number, since it uses less digits than its factorization.

58738420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 58738420 is about 7664.0994252423. The cubic root of 58738420 is about 388.7234615521.

It can be divided in two parts, 5 and 8738420, that multiplied together give a square (43692100 = 6610²).

The spelling of 58738420 in words is "fifty-eight million, seven hundred thirty-eight thousand, four hundred twenty".